question_answer

A block of mass 2 kg is kept at origin at \[t=0\] and is having a velocity \[4\sqrt{5}m/s\] in positive x-direction. The only force acting on it is conservative and its potential energy is defined as \[U=-{{x}^{3}}+6{{x}^{2}}+15\] (SI units). Find the velocity (in m/s) when its acceleration is minimum after\[t=0\].

Answer:

8